MATHEMATICS JSS 3 SECOND TERM EXAMINATION

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JSS 3

MATHEMATICS

SECTION A

ANSWER ALL QUESTIONS

1. The number of minutes in 2 ½ hours is _________(a) 90 (b) 150 (c) 200 (d)65
2. Which one of the following is not equivalent to ½? (a) 9/18 (b) 11/22 (c) 15/30 (d) 24/42
3. How many degrees are in right angle? (a) 90⁰ (b) 75⁰ (c) 40⁰ (d) 210⁰
4. Five pages of a 20page newspaper are missing, the percentage missing is _______ (a) 25% (b) 4% (c) 16% (d) 5%
5. 3/5 of 5/3 is ____________ (a) 1/5 (b) 1/3 (c) 9/25 (d) 1
6. Which of the following is 20% of 1 hour (a) 12 mins (b) 6 Mins (c) 5 Mins (d) 30 Mins
7. Simplify 12x²y ÷ 3x (a) 4x²y (b) 4xy (c) 4y² (d) 4x²
8. If y-20 = 20, then y = __________(a) 4 (b) 10 (c) 40 (d) 35
9. The sum of angles at a point is (a) 360⁰ (b) 270⁰ (c) 180⁰ (d) 90⁰
10. A number is trebled and then 17 is subtracted. If the result is 40, the original number is ___________(a) 7 ²/₃ (b) 57 (c) 11 (d) 19
11. If Sin = 0.5, what is (a) 45⁰ (b)60⁰ (c) 30⁰ (d) 90⁰
12. Which of the following groups of number form Pythagoras Tripple? (a) 6,8,10 (b) 4,6,8 (c) 3,2,5 (d) 10,13,14
13. A market trader has 100 Oranges for sale, 4 of them are unripe, what is the probability that an orange chosen at random is ripe? (a) 4/100 (b) 90/100 (c) 2/5 (d) 24/25
14. The sum of three consecutive numbers is 24. Find the numbers (a) 7,8,9 (b) 5,6,7 (c) 6,7,8 (d) 4,10,11
15. Evaluate (11.67)² – (8.33)² (a) 61.88 (b) 66.80 (c) 20.00 (d) 23.24
16. Factorize a² + 13a + 36 () (a+12) (a+3) (b) (a + 2 )(a +18) (c) (a +9)(a +4( (d) (a +9) (a – 4)
17. Factorize P² – 4q² (a) (p-2q)(p +2q) (b) (p – 7q)(p +7q) (c) (p – 4q)(p + 4q) (d) (p – 70 (p – 4q)
18. Express 0.089752, correct to 3 significant figures (a) 0.0890 (b) 0.0895 (c) 0.0898 (d) 0.0897
19. Convert 432₅ to a number in base 10 (a) 117₁₀ (b) 115₁₀ (c) 171₁₀ (d) 116₁₀
20. The coefficient of x in the expansion of ( x -2)(x +9) is (a) -18 (b) -14 (c) +17 (d) 7
21. What is the reciprocal of -0.025? (a) 25 (b) -40 (c) +0.25 (d) 100/25
22. X varies directly as Y, when x=4, y=3. Find y when x = 5 (a) 3.73 (b) 103 9c) 2.2 (d) 3.0
23. Solve for n in 5n= 625 (a) 3 (b) 125 (c) 25 (d) 225
24. Write 0.000362 in standard form (a) 2.63 X 10^-6 (b) 2.63 X 10^-5 (c) 3.62 X 10^-4 (d) 3.62 X 10⁴
25. Express 2/a + 7/b as a single fraction (a) (b) (c) (d)
26. Find the value of if Sin 40⁰ = Cos (a) 50⁰ (b) 40⁰ (c) 90⁰ (d) 75⁰
27. In the figure below, which of the following equation gives the value of a?(a) a² = b² + c² (b) a² = (b-c)² (c) a² =b² – c² (d) a² = c² – b²

28. Calculate one third of the sum of 23 and the square of 5 (a) 71 (b) 16 (c) 19 (d) 9
29. Express in base two, the square of 11_two (a) 1000 (b) 1010 (c) 1101 (d) 1001
30. The sum of three consecutive even numbers is 72, the highest of three numbers is 71, the highest of three number is ______(a) 12 (b) 26 (c) 24 (d) 14
31. If P = 2(1 +b), express b in terms of P and L (a) 2(l +b) (b) P – 2l2 (c) p2 – L (d) 2P – L
32. The area of Trapezium is calculated by (a) s² (b) LB (c) πr² (d) ½ (a+b)h
33. Calculate the mean of the following numbers 10,2,3,6 and 4 (a) 3 (b) 4 (c) 5 (d) 6
34. In an examination, 350 out of 1250 students failed. What percentage passed? (a) 35% (b) 72% (c) 50% (d) 65%
35. Find the multiplicative inverse of 10/9 (a) 1/9 (b) 9/10 (c) 10/9 (d) -9/10
36. Factorize 2x² – 18xy (a) 2x(x + 9y²) (b) 2x (x -9y) (c) x(x – 9y) (d) x(9x² – 2x)
37. What is the coefficient of y in the equation 5y2 – 3/4y + 7 = 0 (a) 5 (b) 6 (c) -3/4 (d) 7
38. Four lines meet at a point, the sum of three of the angles at a points is 267⁰, the size of the other is _______ (a) 87^o (b) 89⁰ (c) 90⁰ (d) 93⁰
39. Two right angles measure ______(a) 360⁰ (b) 180⁰ (c) 120⁰ (d) 90⁰
40. Round off 2.6548 correct to three decimal places (a) 2.66 (b) 2.655 (c) 2.670 (d) 2.654

SECTION B

Answer Four Questions

1. The sides of the rectangle in the diagram below are given in cm.

1. Find x and y and the area of the rectangle

2. The angles of a quadrilateral are x⁰, 3x⁰, 5x⁰ and 6x⁰. Find x and hence calculate the angles of the quadrilateral.
   1. A rectangular piece of cardboard is 40m wide. The length of the diagonal is 50m. What is the area of the cardboard?
3. The score obtained in a mathematics quiz by 5 boys are 4, 6,3,6,7 and for 4 girls are 6,3,4,7. Calculate for all scores the:
   1. Mean
   2. Median

• Range

1. Mode

4. The distribution of junior workers in an institution are as follows:

Clerks           78

Drivers          36

Typists          44

Messengers                   52

Others           30

Present the information in a pie chart

5. Given a formula A= P + PRT100
   1. Make P the subject of the formula
      1. Find P if A = 920, T =2½ and R = 6 to 3S.F
   2. Simplify (4.8 X 10¹⁷) ÷ (0.12 X 10⁴), leave your answer in standard form.

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